0から8までの3桁の数字で、それぞれの桁に数字の重複があるもののパターン数を #Ruby で数えてみる

Try to count the number of patterns of 3-digit numbers from 0 to 8 with duplicate numbers in each digit with #Ruby


# 回答

```rb
[*0..8].repeated_permutation(3).to_a.select { |numbers| numbers.uniq.size != 3 }.size

# => 225
```

# 全ての組み合わせ数

```rb
[*0..8].repeated_permutation(3).to_a.size

# => 729
```

# 重複するものの内訳

 ```rb
[*0..8].repeated_permutation(3).to_a.select { |numbers| numbers.uniq.size != 3 }

[[0, 0, 0],
 [0, 0, 1],
 [0, 0, 2],
 [0, 0, 3],
 [0, 0, 4],
 [0, 0, 5],
 [0, 0, 6],
 [0, 0, 7],
 [0, 0, 8],
 [0, 1, 0],
 [0, 1, 1],
 [0, 2, 0],
 [0, 2, 2],
 [0, 3, 0],
 [0, 3, 3],
 [0, 4, 0],
 [0, 4, 4],
 [0, 5, 0],
 [0, 5, 5],
 [0, 6, 0],
 [0, 6, 6],
 [0, 7, 0],
 [0, 7, 7],
 [0, 8, 0],
 [0, 8, 8],
 [1, 0, 0],
 [1, 0, 1],
 [1, 1, 0],
 [1, 1, 1],
 [1, 1, 2],
 [1, 1, 3],
 [1, 1, 4],
 [1, 1, 5],
 [1, 1, 6],
 [1, 1, 7],
 [1, 1, 8],
 [1, 2, 1],
 [1, 2, 2],
 [1, 3, 1],
 [1, 3, 3],
 [1, 4, 1],
 [1, 4, 4],
 [1, 5, 1],
 [1, 5, 5],
 [1, 6, 1],
 [1, 6, 6],
 [1, 7, 1],
 [1, 7, 7],
 [1, 8, 1],
 [1, 8, 8],
 [2, 0, 0],
 [2, 0, 2],
 [2, 1, 1],
 [2, 1, 2],
 [2, 2, 0],
 [2, 2, 1],
 [2, 2, 2],
 [2, 2, 3],
 [2, 2, 4],
 [2, 2, 5],
 [2, 2, 6],
 [2, 2, 7],
 [2, 2, 8],
 [2, 3, 2],
 [2, 3, 3],
 [2, 4, 2],
 [2, 4, 4],
 [2, 5, 2],
 [2, 5, 5],
 [2, 6, 2],
 [2, 6, 6],
 [2, 7, 2],
 [2, 7, 7],
 [2, 8, 2],
 [2, 8, 8],
 [3, 0, 0],
 [3, 0, 3],
 [3, 1, 1],
 [3, 1, 3],
 [3, 2, 2],
 [3, 2, 3],
 [3, 3, 0],
 [3, 3, 1],
 [3, 3, 2],
 [3, 3, 3],
 [3, 3, 4],
 [3, 3, 5],
 [3, 3, 6],
 [3, 3, 7],
 [3, 3, 8],
 [3, 4, 3],
 [3, 4, 4],
 [3, 5, 3],
 [3, 5, 5],
 [3, 6, 3],
 [3, 6, 6],
 [3, 7, 3],
 [3, 7, 7],
 [3, 8, 3],
 [3, 8, 8],
 [4, 0, 0],
 [4, 0, 4],
 [4, 1, 1],
 [4, 1, 4],
 [4, 2, 2],
 [4, 2, 4],
 [4, 3, 3],
 [4, 3, 4],
 [4, 4, 0],
 [4, 4, 1],
 [4, 4, 2],
 [4, 4, 3],
 [4, 4, 4],
 [4, 4, 5],
 [4, 4, 6],
 [4, 4, 7],
 [4, 4, 8],
 [4, 5, 4],
 [4, 5, 5],
 [4, 6, 4],
 [4, 6, 6],
 [4, 7, 4],
 [4, 7, 7],
 [4, 8, 4],
 [4, 8, 8],
 [5, 0, 0],
 [5, 0, 5],
 [5, 1, 1],
 [5, 1, 5],
 [5, 2, 2],
 [5, 2, 5],
 [5, 3, 3],
 [5, 3, 5],
 [5, 4, 4],
 [5, 4, 5],
 [5, 5, 0],
 [5, 5, 1],
 [5, 5, 2],
 [5, 5, 3],
 [5, 5, 4],
 [5, 5, 5],
 [5, 5, 6],
 [5, 5, 7],
 [5, 5, 8],
 [5, 6, 5],
 [5, 6, 6],
 [5, 7, 5],
 [5, 7, 7],
 [5, 8, 5],
 [5, 8, 8],
 [6, 0, 0],
 [6, 0, 6],
 [6, 1, 1],
 [6, 1, 6],
 [6, 2, 2],
 [6, 2, 6],
 [6, 3, 3],
 [6, 3, 6],
 [6, 4, 4],
 [6, 4, 6],
 [6, 5, 5],
 [6, 5, 6],
 [6, 6, 0],
 [6, 6, 1],
 [6, 6, 2],
 [6, 6, 3],
 [6, 6, 4],
 [6, 6, 5],
 [6, 6, 6],
 [6, 6, 7],
 [6, 6, 8],
 [6, 7, 6],
 [6, 7, 7],
 [6, 8, 6],
 [6, 8, 8],
 [7, 0, 0],
 [7, 0, 7],
 [7, 1, 1],
 [7, 1, 7],
 [7, 2, 2],
 [7, 2, 7],
 [7, 3, 3],
 [7, 3, 7],
 [7, 4, 4],
 [7, 4, 7],
 [7, 5, 5],
 [7, 5, 7],
 [7, 6, 6],
 [7, 6, 7],
 [7, 7, 0],
 [7, 7, 1],
 [7, 7, 2],
 [7, 7, 3],
 [7, 7, 4],
 [7, 7, 5],
 [7, 7, 6],
 [7, 7, 7],
 [7, 7, 8],
 [7, 8, 7],
 [7, 8, 8],
 [8, 0, 0],
 [8, 0, 8],
 [8, 1, 1],
 [8, 1, 8],
 [8, 2, 2],
 [8, 2, 8],
 [8, 3, 3],
 [8, 3, 8],
 [8, 4, 4],
 [8, 4, 8],
 [8, 5, 5],
 [8, 5, 8],
 [8, 6, 6],
 [8, 6, 8],
 [8, 7, 7],
 [8, 7, 8],
 [8, 8, 0],
 [8, 8, 1],
 [8, 8, 2],
 [8, 8, 3],
 [8, 8, 4],
 [8, 8, 5],
 [8, 8, 6],
 [8, 8, 7],
 [8, 8, 8]]
```


# Original by Github issue

https://github.com/YumaInaura/YumaInaura/issues/2263








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